A system and a method for estimating low complexity bandwidth efficient carrier frequency offset for orthogonal frequency division multiple access (OFDMA) and or single carrier frequency division multiple access (SC-FDMA) uplink transmissions in a communication network systems including a group of subscriber stations, a base station including carrier frequency offset unit. The method steps include transmitting a plurality of null subcarrier signals and data subcarrier signals from plurality of said subscriber stations (SS) to the base station; processing transmitted subcarrier signals at the base station by estimating carrier frequency offset (CFO) by carrier frequency offset unit; selecting the subcarrier signals based on carrier assignment scheme (CAS).